1405310300940 has 768 divisors, whose sum is σ = 5322143232000. Its totient is φ = 274281283584.

The previous prime is 1405310300921. The next prime is 1405310300963. The reversal of 1405310300940 is 490030135041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1405310300898 and 1405310300907.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 268340002 + ... + 268345238.

It is an arithmetic number, because the mean of its divisors is an integer number (6929874000).

Almost surely, 2^{1405310300940} is an apocalyptic number.

1405310300940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405310300940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661071616000).

1405310300940 is an abundant number, since it is smaller than the sum of its proper divisors (3916832931060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1405310300940 is a wasteful number, since it uses less digits than its factorization.

1405310300940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 1405310300940 its reverse (490030135041), we get a palindrome (1895340435981).

The spelling of 1405310300940 in words is "one trillion, four hundred five billion, three hundred ten million, three hundred thousand, nine hundred forty".